312003321221 has 2 divisors, whose sum is σ = 312003321222. Its totient is φ = 312003321220.

The previous prime is 312003321211. The next prime is 312003321229. The reversal of 312003321221 is 122123300213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283774617025 + 28228704196 = 532705^2 + 168014^2 .

It is an emirp because it is prime and its reverse (122123300213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312003321221 - 2¹⁰ = 312003320197 is a prime.

It is a super-3 number, since 3×312003321221³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312003321193 and 312003321202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312003321229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156001660610 + 156001660611.

It is an arithmetic number, because the mean of its divisors is an integer number (156001660611).

Almost surely, 2^312003321221 is an apocalyptic number.

It is an amenable number.

312003321221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312003321221 is an equidigital number, since it uses as much as digits as its factorization.

312003321221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312003321221 its reverse (122123300213), we get a palindrome (434126621434).

The spelling of 312003321221 in words is "three hundred twelve billion, three million, three hundred twenty-one thousand, two hundred twenty-one".